Unsolvability in 3 × 3 Matrices

Publisher: John Wiley & Sons Inc

E-ISSN: 1467-9590|22-2526|1|105-107

ISSN: 0022-2526

Source: STUDIES IN APPLIED MATHEMATICS, Vol.22-2526, Iss.1, 1970-03, pp. : 105-107

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Abstract

A set of 3 × 3 matrices over the integers will be said to be mortal if the zero matrix can be expressed as a finite product of members of the set. It is shown in this paper that the problem of deciding whether a given finite set is mortal is recursively unsolvable.